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Finding the Third Proportional to 340,450 and 733,419

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Solution

The third proportional to 340,450 and 733,419 is: 1,579,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,450 : 733,419 = 733,419 : x
  2. Step 2: Convert to fraction form
    340,450/733,419 = 733,419/x
  3. Step 3: Cross multiply
    340,450x = 733,419 × 733,419
  4. Step 4: Simplify right side
    340,450x = 537,903,429,561
  5. Step 5: Solve for x
    x = 537,903,429,561/340,450
  6. Step 6: Final answer
    x = 1,579,977.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.